Lesson: Rotational Kinetic Energy High School Physics

Which of the following relations describes how the rotational kinetic energy, , of a rotating object varies with the moment of inertia, , of that object around its axis of rotation?

A solid metal disk is rotating with an angular velocity of 15 rad/s. The disk has a moment of inertia of 4.0 kg⋅m² around its axis of rotation. What is the rotational kinetic energy of the disk?

A football is rotating with an angular velocity of 28 rad/s. The football has a moment of inertia of 1.9 kg⋅m² around its axis of rotation. What is the rotational kinetic energy of the football? Give your answer to 2 significant figures.